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Master's Thesis
Author of thesis: Bc. Sebastian Šimanský
Acad. year: 2025/2026
Supervisor: Ing. Libor Veselý, Ph.D.
Reviewer: Ing. Michal Kozubík, Ph.D.
This thesis presents the design, implementation and simulation validation of a Torque Vectoring algorithm for the Dragon E5 four-wheel electric racing car competing in the Formula Student Electric category. Three classes of vehicle models are analysed: a point-mass model, a four-track model augmented with drivetrain, braking, Ackermann steering geometry, aerodynamics and quasi-static normal load transfer, and a linear bi cycle model. The bicycle model is selected as the predictor due to its computational efficiency and discretisation stability. Tyre behaviour is described by the Pacejka Magic Formula and stored in look-up tables. An Extended Kalman Filter (EKF) with an aug mented state vector is implemented for online estimation of the lateral velocity of the centre of mass and the front and rear cornering stiffness coefficients; it reduces the mean absolute yaw-rate tracking error by approximately 28% compared to theoretically derived stiffness values. The control algorithm is formulated as a quadratic programme (QP) and implemented in two variants: a single-step QP controller that directly minimises the yaw-moment error, and a five-step Model Predictive Control (MPC) controller with a 50ms prediction horizon. Both controllers are implemented as Simulink S-functions and validated in a MATLAB/Simulink and IPG CarMaker co-simulation on the standardised step-steer manoeuvre S50A40. Results show that both controllers reduce understeer compared to the passive vehicle; the MPC controller achieves lower longitudinal tyre slip, while the single-step QP controller offers simpler, more predictable intervention and is identified as a suitable candidate for the first practical implementation.
MPC, Torque Vectoring, vehicle dynamics, tyre modelling, Bicycle Model, Quadratic Program (QP), Extended Kalman Filter (EKF), state estimation, Pacejka Magic For mula, Formula Student
Date of defence
09.06.2026
Result of the defence
Defended (thesis was successfully defended)
Grading
B
Process of defence
Student obhájil diplomovou práci. Komise neměla žádné námitky k řešené práci. V průběhu odborné rozpravy student odpověděl na dotazy: Jste schopen modifikovat parametry formule za jízdy?
Language of thesis
Czech
Faculty
Fakulta elektrotechniky a komunikačních technologií
Department
Department of Control and Instrumentation
Study programme
Cybernetics, Control and Measurements (MPC-KAM)
Composition of Committee
prof. Ing. Rudolf Jalovecký, CSc. (předseda) doc. Ing. Václav Kaczmarczyk, Ph.D. (místopředseda) Ing. Jakub Dokoupil, Ph.D. (člen) Ing. Zdeněk Havránek, Ph.D. (člen) doc. Ing. Miroslav Jirgl, Ph.D. (člen) Ing. Petr Petyovský, Ph.D. (člen)
Supervisor’s reportIng. Libor Veselý, Ph.D.
Grade proposed by supervisor: A
Reviewer’s reportIng. Michal Kozubík, Ph.D.
Grade proposed by reviewer: C
Responsibility: Mgr. et Mgr. Hana Odstrčilová